GENERALIZED LEVI CURRENTS AND SINGULAR LOCI FOR FAMILIES OF PLURISUBHARMONIC FUNCTIONS

It is well known that closed subgroups of minimal Abelian groups are mini- mal ([P2], [P5]) and all compact Hausdorff groups are minimal1. Stojanov and the first

•U = (U,),eN ls a Stein covering then T«n is an algebraic and topological isomorphism (cf. One verifies imme- diately that the above isomorphism does not depend on ^U and denote

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Note that in general, the pointwise convergence of an increasing sequence of functions in L does not imply convergence of the corresponding Robin functions to the Robin function of

Applications include an understanding of Fridman’s invariant for the Kobayashi metric on Levi corank one domains, a description of the balls in the Kobayashi metric on such domains

Example 1.2 of positive algebraic currents.. These currents, which are also called Green currents, play a central role in the theory of complexdynamics. In the first section of

As in the hypersurface case, we shall denote by F N reg this Levi foliation on N reg ; it is real analytic and of real codimension one (in N reg ).. It is easy to see, as in

Liouville theorems, a priori estimates and the existence of non trivial solutions in Holder-Stein spaces for the Dirichlet problem.. are therefore obtained in the